770221670400 has 1944 divisors, whose sum is σ = 3540751869564. Its totient is φ = 158544691200.

The previous prime is 770221670389. The next prime is 770221670429. The reversal of 770221670400 is 4076122077.

It is a happy number.

770221670400 is a `hidden beast` number, since 7 + 70 + 22 + 167 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 21069103104 + 749152567296 = 145152^2 + 865536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18785894380 + ... + 18785894420.

Almost surely, 2^770221670400 is an apocalyptic number.

770221670400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770221670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770375934782).

770221670400 is an abundant number, since it is smaller than the sum of its proper divisors (2770530199164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

770221670400 is a wasteful number, since it uses less digits than its factorization.

770221670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

Adding to 770221670400 its reverse (4076122077), we get a palindrome (774297792477).

The spelling of 770221670400 in words is "seven hundred seventy billion, two hundred twenty-one million, six hundred seventy thousand, four hundred".